Test 2 Review- Absolute Value Graphs and Inequalities

What transformations to the graph of $$f\left(x\right)\ =\ -2\left|x+5\right|-6$$ would create a function whose vertex is (-2, -4)?

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

Write an absolute value function given the following transformations:

Vertical Stretch by a factor of 2

Horizontal shift left 1 unit left

Vertical shift 9 units down

What point would be a solution to the inequality? $$y>3\left|x-3\right|-7$$

What transformation to the graph of $$g\left(x\right)\ =\ 2\left|x+3\right|-2$$ could make a function whose vertex is (3,-1)?

What would be the range of the function: $$f\left(x\right)\ =\ -\frac{1}{2}\left|x+2\right|+6$$

Here is a table of values for an absolute value function.

Determine which of the following is true:

A. The vertex is at (1,6)

B. The graph opens upward

C. The range is $$\left[2,\infty\right)$$